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math.CO2023
On flagged -theoretic symmetric polynomials
Shinsuke Iwao
We provide a fermionic description of flagged skew Grothendieck polynomials, which can be seen as a -theoretic counterpart of flagged skew Schur polynomials. Our proof relies on…
math.CO2023
Generating functions of dual -theoretic - and -functions and boson-fermion correspondence
Shinsuke Iwao
In this paper, we present a new algebraic description of Ikeda-Naruse's -theoretic Schur - and -functions and their dual functions in terms of neutral fermion operators. W…